Answer:
It suggests that adventure is in Bilbo's blood
Step-by-step explanation:
It explains the hobbits' role as peacekeepers in Middle Earth – is not the correct answer. While Hobbits are seen as peacekeepers in Middle Earth, the part about the Took family does not serve the purpose of explaining this.
It explains why Bilbo has never felt at home in the shire – this is not the correct answer. Bilbo did feel at home in the shire.
It shows how Bilbo can overcome his family history of cowardice and shame. - this is not true. The passage does not suggest Tooks were cowards or shameful people.
It suggests that adventure is in Bilbo's blood – this is the correct answer. It is said in the parts about the Took family how they would sometime go on adventures. This was not really hobbit-like, as Hobbits don’t like turbulent life, therefore it is something specific for the family rather than Bilbo’s kind. This passage gives us an exposition of what is to come, suggesting that Bilbo, as his family, might be prone to adventures and having an exciting life.